Pith Number

pith:FDOIYXBR

pith:2016:FDOIYXBRZPP3IG75JBQWCOE7D3

not attested not anchored not stored refs pending

Some classifiable groupoid C*-algebras with prescribed K-theory

Ian F. Putnam

arxiv:1611.04649 v3 · 2016-11-15 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDOIYXBRZPP3IG75JBQWCOE7D3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:34:31.442240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28dc8c5c31cbdfb41bfd486161389f1ee425ff33d21e76cb67b45c67db585ecf

Aliases

arxiv: 1611.04649 · arxiv_version: 1611.04649v3 · doi: 10.48550/arxiv.1611.04649 · pith_short_12: FDOIYXBRZPP3 · pith_short_16: FDOIYXBRZPP3IG75 · pith_short_8: FDOIYXBR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FDOIYXBRZPP3IG75JBQWCOE7D3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 28dc8c5c31cbdfb41bfd486161389f1ee425ff33d21e76cb67b45c67db585ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0578db533ef7a4372cf981fdf689bd4fa0cbd8af3c878f14f6607a286d6c754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-11-15T00:08:36Z",
    "title_canon_sha256": "6165d97656bcd3f6f92693b5d8765839a7b57361914c2ace9de346c04a84c929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04649",
    "kind": "arxiv",
    "version": 3
  }
}